当前位置: X-MOL 学术Mech. Res. Commun. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
The hydraulic conductivity of a shaped fracture with permeable walls
Mechanics Research Communications ( IF 2.4 ) Pub Date : 2021-01-01 , DOI: 10.1016/j.mechrescom.2020.103650
Daihui Lu , Federico Municchi , Ivan C. Christov

Abstract We investigate the flow-wise variation of the hydraulic conductivity inside a non-uniformly shaped fracture with permeable walls. Using lubrication theory for viscous flows, in conjunction with the Beavers–Joseph–Saffman boundary condition at the permeable walls, we obtain an analytical expression for the velocity profile, conductivity, and wall permeation velocity. These predictions highlight the effects of geometric variation (through the local slope of the aperture’s flow-wise variation), the permeability of the walls (through a dimensionless slip coefficient), and the effect of flow inertia (through a Reynolds number). The theory is validated against an OpenFOAM® solver for the Navier–Stokes equations subject to a tensorial slip boundary condition, showing good agreement. The mathematical results have implications on system-level (multiscale) modeling of hydraulically fractured reservoirs, in which the Darcy conductivity of each non-uniform passage must be accurately accounted for, throughout the fractured porous rock.

中文翻译:

具有渗透壁的成形裂缝的导水率

摘要 我们研究了具有渗透壁的非均匀形状裂缝内水力传导率的流动变化。使用粘性流动的润滑理论,结合可渗透壁的 Beavers-Joseph-Saffman 边界条件,我们获得了速度剖面、电导率和壁渗透速度的解析表达式。这些预测突出了几何变化的影响(通过孔流向变化的局部斜率)、壁的渗透率(通过无量纲滑移系数)和流动惯性的影响(通过雷诺数)。该理论针对受张量滑动边界条件影响的 Navier-Stokes 方程的 OpenFOAM® 求解器进行了验证,显示出良好的一致性。
更新日期:2021-01-01
down
wechat
bug